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1-set-contractive perturbations of accretive operators in Menger PN-spaces

โœ Scribed by Zhao-qi Wu, Chuan-xi Zhu


Book ID
118817990
Publisher
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year
2012
Tongue
English
Weight
142 KB
Volume
27
Category
Article
ISSN
1005-1031

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On 1-Set-Contraction Perturbations of Ac
โœ Yu-Qing Chen; Yeol Je Cho ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 170 KB

Let P be a cone in a Banach space E. In this paper, we show the existence of solutions of the operator equation y g yAx q Tx for y g P, where T is a 1-set-contraction operator in P and A is an accretive operator in P satisfying ลฝ . ลฝ . R I q A s P for all ) 0. Further, a sufficient condition for R I